Just as the points (cos t, sin t) form a circle with a unit radius, the points (cosh t, sinh t) form the right half of the unit hyperbola. Also, similarly to how the derivatives of sin (t) and cos (t) are cos (t) and –sin (t) …

The two basic hyperbolic functions are sinh and cosh: sinh (x) = ex - e-x2. (pronounced shine or sinch). cosh (x) = ex + e-x2.

He noticed that, for one of them, if he sets it equal to its hyperbolic counterpart— sinh, cosh, tanh, coth, sech, sinh,cosh,tanh,coth,sech, or csch, csch, respectively—it intersects at exactly four points.

These functions are most conveniently defined in terms of the exponential function, with sinh z = 1/2 (ez − e−z) and cosh z = 1/2 (ez + e−z) and with the other hyperbolic trigonometric functions defined in a …

Since cosh x> 0, sinh x is increasing and hence injective, so sinh x has an inverse, \arcsinh x. Also, sinh x> 0 when x> 0, so cosh x is injective on [0, ∞) and has a (partial) inverse, \arccosh x. The other …

This sinh calculator allows you to quickly determine the values of the hyperbolic sine function.

Sinh Elementary Functions Sinh [z] Introduction to the Hyperbolic Sine Function Defining the hyperbolic sine function The hyperbolic sine function is an old mathematical function. It was first used in the …